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20705020020 = 223251071075027
BaseRepresentation
bin10011010010000111…
…011000100001110100
31222102222010222220100
4103102013120201310
5314400441120040
613302312234100
71332042523566
oct232207304164
958388128810
1020705020020
118865497aa3
12401a09b930
131c4c783c49
141005ba9336
15812ad0b30
hex4d21d8874

20705020020 has 72 divisors (see below), whose sum is σ = 63392251104. Its totient is φ = 5469732288.

The previous prime is 20705020013. The next prime is 20705020031. The reversal of 20705020020 is 2002050702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20705019975 and 20705020002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518254 + ... + 556773.

It is an arithmetic number, because the mean of its divisors is an integer number (880447932).

Almost surely, 220705020020 is an apocalyptic number.

20705020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20705020020 is an abundant number, since it is smaller than the sum of its proper divisors (42687231084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20705020020 is a wasteful number, since it uses less digits than its factorization.

20705020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075149 (or 1075144 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

Adding to 20705020020 its reverse (2002050702), we get a palindrome (22707070722).

The spelling of 20705020020 in words is "twenty billion, seven hundred five million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 1075027 2150054 3225081 4300108 5375135 6450162 9675243 10750270 12900324 16125405 19350486 21500540 32250810 38700972 48376215 64501620 96752430 115027889 193504860 230055778 345083667 460111556 575139445 690167334 1035251001 1150278890 1380334668 1725418335 2070502002 2300557780 3450836670 4141004004 5176255005 6901673340 10352510010 20705020020